The intuition behind topology

Here are some intuitive explanations to help you understand what topology is all about:

In Topology, When Are Two Shapes the Same?

Topology 101: The hole truth (pun intended)

How mathematicians use homology to make sense of topology

The mathematical shape of things to come

Cube complexes

If you find any of these to confusing right now, wait until we get to the corresponding topics in class and come back to read about them afterwards.